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Finding the Fourth Proportional to 951.93, 1,317.25 and 811.82

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Solution

The fourth proportional to 951.93, 1,317.25 and 811.82 is: 1,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.93 : 1,317.25 = 811.82 : x
  2. Step 2: Convert to fraction form
    951.93/1,317.25 = 811.82/x
  3. Step 3: Cross multiply
    951.93x = 1,317.25 × 811.82
  4. Step 4: Simplify right side
    951.93x = 1,069,369.90
  5. Step 5: Solve for x
    x = 1,069,369.90/951.93
  6. Step 6: Final answer
    x = 1,123.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.